Hadronic weak decays of the charmed baryon <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>
Shiyong Hu, Guanbao Meng, Fanrong Xu
Abstract
Two-body hadronic weak decays of the charmed baryon ${\mathrm{\ensuremath{\Omega}}}_{c}$, including the Cabibbo-favored (CF), singly Cabibbo-suppressed (SCS), and doubly Cabibbo-suppressed (DCS) modes, are studied systematically in this work. To estimate nonfactorizable contributions, we work in the pole model for the $P$-wave amplitudes and current algebra for the $S$-wave amplitudes. Among all the channels decaying into a baryon octet and a pseudoscalar meson, ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}^{0}{\overline{K}}^{0}$ is the only allowed CF mode. The predicted branching fraction of order 3.8% and large and positive decay asymmetry of order 0.50 indicate that a measurement of this mode in the near future is promising. Proceeding through purely nonfactorizable contributions, the SCS mode ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}^{0}{\overline{K}}^{0}$ and DCS mode ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}^{0}\ensuremath{\eta}$ are predicted to have branching fractions as large as 0.8% and 0.4%, respectively. The two DCS modes ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Sigma}}}^{0}\ensuremath{\eta}$ and ${\mathrm{\ensuremath{\Omega}}}_{c}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}^{0}{\ensuremath{\pi}}^{0}$ are suggested to serve as new physics searching channels for their vanishing SM background.